College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 10.2, Problem 47AE
To determine
To find: In how many ways can 2 people each have different birthdays? Assume that there are 365 days in a year.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
I want a mathematical relationship with all the details, not explanations and definitions
4 sinx cos2x+4 cos x sin2x-1=0
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
6 -2
-[47]
A =
-3 1
P =
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
Chapter 10 Solutions
College Algebra (10th Edition)
Ch. 10.1 - Prob. 1AYPCh. 10.1 - Prob. 2AYPCh. 10.1 - True or false The intersection of two sets is...Ch. 10.1 - Prob. 4AYPCh. 10.1 - Prob. 5CVCh. 10.1 - If the number of elements in a set is a...Ch. 10.1 - Prob. 7CVCh. 10.1 - True or False If a task consists of a sequence of...Ch. 10.1 - Prob. 9SBCh. 10.1 - Prob. 10SB
Ch. 10.1 - If n( A )=15 , n( B )=20 , and n( AB )=10 , find...Ch. 10.1 - If n( A )=30 , n( B )=40 , and n( AB )=45 , find...Ch. 10.1 - If n( AB )=50 , n( AB )=10 , and n( B )=20 , find...Ch. 10.1 - If n( AB )=60 , n( AB )=40 , and n( A )=n( B ) ,...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - In Problems 15-22, use the information given in...Ch. 10.1 - Shirts and Ties A man has 5 shirts and 3 ties. How...Ch. 10.1 - Blouses and Skirts A woman has 5 blouses and 8...Ch. 10.1 - Four-digit Numbers How many four-digit numbers can...Ch. 10.1 - Five-digit Numbers How many five-digit numbers can...Ch. 10.1 - Analyzing Survey Data In a consumer survey of 500...Ch. 10.1 - Analyzing Survey Data In a student survey, 200...Ch. 10.1 - Analyzing Survey Data In a survey of 100 investors...Ch. 10.1 - Classifying Blood Types Human blood is classified...Ch. 10.1 - Demographics The following data represent the...Ch. 10.1 - Demographics The following data represent the...Ch. 10.1 - Stock Portfolios As a financial planner, you are...Ch. 10.1 - Make up a problem different from any found in the...Ch. 10.1 - Investigate the notion of counting as it relates...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.1 - Problems 36-39 are based on material learned...Ch. 10.2 - 0!= ; 1!= . (p. 642)Ch. 10.2 - Prob. 2AYPCh. 10.2 - Prob. 3CVCh. 10.2 - A(n) ___________ is an arrangement of r objects...Ch. 10.2 - Prob. 5CVCh. 10.2 - Prob. 6CVCh. 10.2 - In Problems 7-14, find the value of each...Ch. 10.2 - Prob. 8SBCh. 10.2 - Prob. 9SBCh. 10.2 - Prob. 10SBCh. 10.2 - Prob. 11SBCh. 10.2 - Prob. 12SBCh. 10.2 - Prob. 13SBCh. 10.2 - Prob. 14SBCh. 10.2 - Prob. 15SBCh. 10.2 - Prob. 16SBCh. 10.2 - In Problems 15-22, use formula (2) to find the...Ch. 10.2 - Prob. 18SBCh. 10.2 - Prob. 19SBCh. 10.2 - Prob. 20SBCh. 10.2 - Prob. 21SBCh. 10.2 - Prob. 22SBCh. 10.2 - List all the ordered arrangements of 5 objects...Ch. 10.2 - List all the ordered arrangements of 5 objects...Ch. 10.2 - Prob. 25AECh. 10.2 - Prob. 26AECh. 10.2 - List all the combinations of 5 objects a,b,c,d ,...Ch. 10.2 - Prob. 28AECh. 10.2 - Prob. 29AECh. 10.2 - List all the combinations of 6 objects 1, 2, 3, 4,...Ch. 10.2 - Prob. 31AECh. 10.2 - Prob. 32AECh. 10.2 - Forming Numbers How many three-digit numbers can...Ch. 10.2 - Forming Numbers How many three-digit numbers can...Ch. 10.2 - Prob. 35AECh. 10.2 - Prob. 36AECh. 10.2 - Forming Codes How many different three-letter...Ch. 10.2 - Prob. 38AECh. 10.2 - Prob. 39AECh. 10.2 - Stocks on the NASDAQ Companies whose stocks are...Ch. 10.2 - Prob. 41AECh. 10.2 - Prob. 42AECh. 10.2 - Prob. 43AECh. 10.2 - Prob. 44AECh. 10.2 - Arranging Books Five different mathematics books...Ch. 10.2 - Forming License Plate Numbers How many different...Ch. 10.2 - Prob. 47AECh. 10.2 - Prob. 48AECh. 10.2 - Prob. 49AECh. 10.2 - Prob. 50AECh. 10.2 - Forming Words How many different 9-letter words...Ch. 10.2 - Forming Words How many different 11-letter words...Ch. 10.2 - Selecting Objects An urn contains 7 white balls...Ch. 10.2 - Prob. 54AECh. 10.2 - Prob. 55AECh. 10.2 - Prob. 56AECh. 10.2 - Prob. 57AECh. 10.2 - Prob. 58AECh. 10.2 - Baseball Teams A baseball team has 15 members....Ch. 10.2 - Prob. 60AECh. 10.2 - Prob. 61AECh. 10.2 - Prob. 62AECh. 10.2 - Combination Locks A combination lock displays 50...Ch. 10.2 - Prob. 64DWCh. 10.2 - Prob. 65DWCh. 10.2 - Explain the difference between a permutation and a...Ch. 10.2 - Prob. 67RYKCh. 10.2 - Problems 67-70 are based on material learned...Ch. 10.2 - Problems 67-70 are based on material learned...Ch. 10.2 - Problems 67-70 are based on material learned...Ch. 10.3 - When the same probability is assigned to each...Ch. 10.3 - Prob. 2CVCh. 10.3 - True or False The probability of an event can...Ch. 10.3 - Prob. 4CVCh. 10.3 - In a probability model, which of the following...Ch. 10.3 - In a probability model, which of the following...Ch. 10.3 - Prob. 7SBCh. 10.3 - Determine whether the following is a probability...Ch. 10.3 - Prob. 9SBCh. 10.3 - Prob. 10SBCh. 10.3 - Prob. 11SBCh. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - In Problems 11-16, construct a probability model...Ch. 10.3 - Prob. 16SBCh. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 17-22, use the following spinners to...Ch. 10.3 - In Problems 23-26, consider the experiment of...Ch. 10.3 - Prob. 24SBCh. 10.3 - Prob. 25SBCh. 10.3 - Prob. 26SBCh. 10.3 - Assigning Probabilities A coin is weighted so that...Ch. 10.3 - Prob. 28SBCh. 10.3 - Prob. 29SBCh. 10.3 - Prob. 30SBCh. 10.3 - Prob. 31SBCh. 10.3 - Prob. 32SBCh. 10.3 - Prob. 33SBCh. 10.3 - For Problems 31-34, the sample space is S={...Ch. 10.3 - Prob. 35SBCh. 10.3 - Prob. 36SBCh. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - Prob. 38SBCh. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - In Problems 37-40, assume equally likely outcomes....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - For Problems 41-44, two fair dice are rolled....Ch. 10.3 - Prob. 45SBCh. 10.3 - Prob. 46SBCh. 10.3 - In Problems 45-48, find the probability of the...Ch. 10.3 - Prob. 48SBCh. 10.3 - Prob. 49SBCh. 10.3 - If P( B )=0.30 , P( AB )=0.65 , and P( AB )=0.15 ,...Ch. 10.3 - Automobile Theft According to the Insurance...Ch. 10.3 - Pet Ownership According to the American Pet...Ch. 10.3 - Dog Ownership According to the American Pet...Ch. 10.3 - Prob. 54SBCh. 10.3 - Prob. 55SBCh. 10.3 - For Problems 57-60, a golf ball is selected at...Ch. 10.3 - For Problems 57-60, a golf ball is selected at...Ch. 10.3 - Prob. 58SBCh. 10.3 - Prob. 59SBCh. 10.3 - Prob. 60SBCh. 10.3 - On The Price Is Right, there is a game in which a...Ch. 10.3 - Prob. 62SBCh. 10.3 - Problems 63-66 are based on a survey of annual...Ch. 10.3 - Prob. 64SBCh. 10.3 - Prob. 65SBCh. 10.3 - Prob. 66SBCh. 10.3 - Prob. 67SBCh. 10.3 - Checkout Lines Through observation, it has been...Ch. 10.3 - Prob. 69SBCh. 10.3 - The faculty of the mathematics department at...Ch. 10.3 - Birthday Problem What is the probability that at...Ch. 10.3 - Birthday Problem What is the probability that at...Ch. 10.3 - Winning a Lottery Powerball is a multistate...Ch. 10.3 - Prob. 74RYKCh. 10.3 - Prob. 75RYKCh. 10.3 - Solve: log 5 ( x+3 )=2Ch. 10.3 - Solve the given system using matrices { 3x+y+2z=1...Ch. 10.R - Prob. 1RECh. 10.R - Prob. 2RECh. 10.R - Prob. 3RECh. 10.R - Prob. 4RECh. 10.R - Prob. 5RECh. 10.R - Prob. 6RECh. 10.R - Prob. 7RECh. 10.R - Prob. 8RECh. 10.R - Prob. 9RECh. 10.R - In Problems 10 and 11, compute the value of the...Ch. 10.R - In Problems 10 and 11, compute the value of the...Ch. 10.R - Stocking a Store A clothing store sells pure wool...Ch. 10.R - Prob. 13RECh. 10.R - Prob. 14RECh. 10.R - Choosing a Team In how many ways can a squad of 4...Ch. 10.R - Prob. 16RECh. 10.R - Prob. 17RECh. 10.R - Prob. 18RECh. 10.R - Prob. 19RECh. 10.R - Prob. 20RECh. 10.R - Forming Committees A group of 9 people is going to...Ch. 10.R - Birthday Problem For this problem, assume that a...Ch. 10.R - Unemployment According to the U.S. Bureau of Labor...Ch. 10.R - Prob. 24RECh. 10.R - Prob. 25RECh. 10.R - Prob. 26RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- (e) Without using a membership table, show that (A N B) U (A N B) = A. State all the rules used.arrow_forwardThe function r has vertical asymptotes x =____________ (smaller value) and x = __________ (larger value)arrow_forwardProblem 1. 1.1. In each of the below, find a complete list of subgroups of the group G and write down their orders. a) The group G = Z/48Z b) The group G of rotations in D14. c) The group G = Z13 of 13-th roots of unity in C. 1.2. Find all elements x of the group G from 1.1 b) which generate G. 1.3. Let H = [[20]) ℃ Z/48Z. Using only order, determine which of the subgroups from your solution to 1.1 a) H coincides with.arrow_forward
- my teacher told me the answer was 4a⁷b⁶ because of the product of a power how can I tell the truth us there any laws in math please provide the law to correct her tyarrow_forwarda=1 b=41)Find the vector and parametric scalar equations of the line L. Show that Q does not lieon L. 2)Without performing any numerical calculations, express d in terms of sin(θ) and |P Q| andhence show that d = |P Q × v(v with a hat)|. Proceed to use your points P and Q and the vector v(hat) to find d. 3)Find the point R such that PR =(P Q · v(hat)/|v(hat)| 2⃗ ) * v(hat). Confirm that R lies on the line L. Interpret the vector P R. Finally, verify that d = |RQ|.arrow_forwardDirections: Use your knowledge of properties of quadratic equations to answer each question. Show all work and label your answers with appropriate units. Round any decimals to the nearest hundredths place. 1. The hypotenuse of a right triangle is 5 centimeters longer than one leg and 10 centimeters longer than the other leg. What are the dimensions of the triangle? 2. The profit of a cell phone manufacturer is found by the function y = -2x²+ 108x+75, where x is the price of the cell phone. At what price should the manufacturer sell the phone to maximize its profits? What will the maximum profit be? 3. A farmer wants to build a fence around a rectangular area of his farm with one side of the region against his barn. He has 76 feet of fencing to use for the three remaining sides. What dimensions will make the largest area for the region? 4. A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is 7 feet more than the…arrow_forward
- Consider the linear system: x12x2ax3 - 3x1 + x2 3x3 -3x14x2+7x3 a) For what value of a we can not solve the above system using Cramer's Rule? a b) If we take a 3 what will be the value of x₁? x1 = == 4. =-7 ==arrow_forwardIf u and v are any elements in vector space V and u v is not in V then V is not closed under the operation . ○ True ○ Falsearrow_forwardConsider the linear system: x1 + 2x2 + 3x3 3x1 + 2x2 + x3 = 17 = 11 x1 - 5x2 + x3 =-5 Let A be the coefficient matrix of the given system and using Cramer's Rule x = • x1 = = det(A2) = ÷ det(Ai) det(A)arrow_forward
- The linear system can be solved by Cramer's Rule. ○ True ○ False 2x14x26x3 = 2, x1 + 2x3 = 0, 2x13x2 x3 = −5arrow_forwardConsider the linear system: 2x1 +7x2 = -21 -x1-3x2 = = 14 Which one of the following gives the value of x₁ using Cramer's rule? Select one: 21 7 14 -3 x1 = 2 7 -1 -3 -21 7 14 -3 x1 2 7 1 -3 O None of these. -21 -1 14 x1 = 2 7 -1 -3 -21 -1 14 x1 = 2 7 1 -3arrow_forwardWrite the augmented matrix of the system -70y +4z 6 20x +60z -48 -3x -4y-48z -12arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
The Fundamental Counting Principle; Author: AlRichards314;https://www.youtube.com/watch?v=549eLWIu0Xk;License: Standard YouTube License, CC-BY
The Counting Principle; Author: Mathispower4u;https://www.youtube.com/watch?v=qJ7AYDmHVRE;License: Standard YouTube License, CC-BY